Least Common Multiple of 1870 and 1875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1870 and 1875 the smallest integer that is 701250 that is divisible by both numbers.

Least Common Multiple (LCM) of 1870 and 1875 is 701250.

LCM(1870,1875) = 701250

LCM of 1870 and 1875

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1870 and 1875

LCM of 1870 and 1875 is 701250

Least common multiple can be found by multiplying the highest exponent prime factors of 1870 and 1875. First we will calculate the prime factors of 1870 and 1875.

Prime Factorization of 1870


2 1870
5 935
11 187
17 17
1

Prime factors of 1870 are 2, 5, 11,17. Prime factorization of 1870 in exponential form is:

1870 = 21×51×111×171

Prime Factorization of 1875


3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 1875 are 3,5. Prime factorization of 1875 in exponential form is:

1875 = 31×54

Now multiplying the highest exponent prime factors to calculate the LCM of 1870 and 1875.

LCM(1870,1875) = 21×31×54×111×171
LCM(1870,1875) = 701250

Factors of 1870

List of positive integer factors of 1870 that divides 1870 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870

Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875

Least Common Multiple of 1870 and 1875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1870 and 1875, than apply into the LCM equation.

GCF(1870,1875) = 5
LCM(1870,1875) = ( 1870 × 1875) / 5
LCM(1870,1875) = 3506250 / 5
LCM(1870,1875) = 701250

Properties of LCM 1870 and 1875

(i) The LCM of 1875 and 1870 is associative

LCM of 1870 and 1875 = LCM of 1875 and 1870

Related Least Common Multiples of 1870

Related Least Common Multiples of 1875

Frequently Asked Questions on LCM of 1870 and 1875

1. What is the LCM of 1870 and 1875?

Answer: LCM of 1870 and 1875 is 701250.

2. What are the Factors of 1870?

Answer: Factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870. There are 16 integers that are factors of 1870. The greatest factor of 1870 is 1870.

3. What are the Factors of 1875?

Answer: Factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875. There are 10 integers that are factors of 1875. The greatest factor of 1875 is 1875.

4. How to Find the LCM of 1870 and 1875?

Answer:

Least Common Multiple of 1870 and 1875 = 701250

Step 1: Find the prime factorization of 1870

1870 = 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 1875

1875 = 3 x 5 x 5 x 5 x 5

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 701250 = 2 x 3 x 5 x 5 x 5 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 1870 and 1875 is 701250.